Towards a hydrodynamic modelling framework appropriate for applications in urban flood assessment and mitigation using heterogeneous computing

References

• Abderrezzak, K.E.K., Lewicki, L., Paquier, A., Rivière, N., and Travin, G., 2011. Division of critical flow at three-branch open-channel intersection. Journal of Hydraulic Research, 49 (2), 231–238.
   Web of Science ®Google Scholar
• Bates, P.D. and De Roo, A.P.J., 2000. A simple raster-based model for flood inundation simulation. Journal of Hydrology, 236 (1), 54–77.
   Web of Science ®Google Scholar
• Brodtkorb, A.R., Sætra, M.L., and Altinakar, M., 2012. Efficient Shallow Water Simulations on GPUs: Implementation, Visualization, Verificiation, and Validation. Computers & Fluids, 55 (1), 1–12.
   Web of Science ®Google Scholar
• Courant, R., Friedrichs, F., and Lewy, H., 1967. On the partial difference equations of mathematical physics. IBM Journal, 11 (2), 215–234.
   Google Scholar
• Environment Agency, 2006. Cumbria Floods Technical Report – Factual report on meteorology, hydrology and impacts of January 2005 flooding in Cumbria. Bristol, UK: Environment Agency.
   Google Scholar
• Environment Agency, 2009. Flood and coastal risk management in England – a long-term investment strategy. Bristol, UK: Environment Agency.
   Google Scholar
• Erduran, K.S., Kutija, V., and Hewett, C.J.M., 2002. Performance of finite volume solutions to the shallow water equations with shock-capturing schemes. International Journal for Numerical Methods in Fluids, 40 (10), 1237–1273.
   Web of Science ®Google Scholar
• Fewtrell, T.J., Bates, P.D., Horitt, M., and Hunter, N.M., 2008. Evaluating the effect of scale in flood inundation modelling in urban environments. Hydrological Processes, 22 (26), 5107–5118.
   Web of Science ®Google Scholar
• Fewtrell, T.J., Neal, J.C., Bates, P.D., and Harrison, P.J., 2011. Geometric and structural river channel complexity and the prediction of urban inundation. Hydrological Processes, 25 (20), 3173–3186.
   Web of Science ®Google Scholar
• GONW, 2005. Carlisle storms and associated flooding – Multi-agency debrief report. Manchester, UK: Government Office for the North West of England.
   Google Scholar
• Horritt, M.S. and Bates, P.D., 2002. Evaluation of 1D and 2D numerical models for predicting river flood inundation. Journal of Hydrology, 268 (1), 87–99.
   Web of Science ®Google Scholar
• Horritt, M.S., Bates, P.D., Fewtrell, T.J., Mason, D.C., and Wilson, M.D., 2010. Modelling the hydraulics of the Carlisle 2005 flood event. Proceedings of the Institution of Civil Engineers – Water Management, 163 (6), 273–281.
   Web of Science ®Google Scholar
• Hunter, N.M., Horritt, M.S., Bates, P.D., Wilson, M.D., and Werner, M.G.F., 2005. An adaptive time step solution for raster-based storage cell modelling of floodplain inundation. Advances in Water Resources, 28 (9), 975–991.
   Web of Science ®Google Scholar
• Hunter, N.M., Bates, P.D., Neelz, S., Pender, G., Villanueva, I., Wright, N.G., Liang, D., Falconer, R.A., Lin, B., Waller, S., Crossley, A.J., and Mason, D.C., 2007. Benchmarking 2D hydraulic models for urban flooding. Proceedings of the Institution of Civil Engineers – Water Management, 161 (1), 13–30.
   Web of Science ®Google Scholar
• Intel Corporation, 2012. Export Compliance Metrics: Intel® Xeon® Processor E5-2600 Series. Santa Clara, CA: Intel Corporation.
   Google Scholar
• Kalyanapu, A.J., Shankar, S., Pardyjak, E.R., Judi, D.R., and Burian, S.J., 2011. Assessment of GPU computational enhancement to a 2D flood model. Environmental Modelling & Software, 26 (8), 1009–1016.
   Web of Science ®Google Scholar
• Kubatko, E.J., Bunya, S., Dawson, C., and Westerink, J.J., 2009. Dynamic p-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations. Computer Methods in Applied Mechanics and Engineering, 198 (21-26), 1766–1774.
   Web of Science ®Google Scholar
• Kuo, F., Smith, M.R., Hsieh, C., Chou, C., and Wu, J., 2011. GPU acceleration for general conservation equations and its application to several engineering problems. Computers & Fluids, 45 (1), 147–154.
   Web of Science ®Google Scholar
• Liang, Q., Du, G., Hall, J.W., and Borthwick, A.G.L., 2008. Flood Inundation Modelling with an Adaptive Quadtree Shallow Water Equation Solver. ASCE – Journal of Hydraulic Engineering, 134 (11), 1603–1610.
   Web of Science ®Google Scholar
• Liang, Q., 2010. Flood simulation using a well-balanced shallow flow model. ASCE – Journal of Hyraulic Engineering, 136 (9), 669–675.
   Web of Science ®Google Scholar
• Liang, Q. and Borthwick, A.G.L., 2009. Adaptive Quadtree Simulation of Shallow Flows with Wet-Dry Fronts over Complex Topography. Computers & Fluids, 38 (2), 221–234.
   Web of Science ®Google Scholar
• Liang, Q. and Marche, F., 2009. Numerical resolution of well-balanced shallow water equations with complex source terms. Advances in Water Resources, 32, 873–884.
   Web of Science ®Google Scholar
• Liu, Y. and Pender, G., 2013. Carlisle 2005 urban flood event simulation using cellular automata-based rapid flood spreading model. Soft Computing, 17 (1), 29–37.
   Web of Science ®Google Scholar
• NVIDIA Corporation, 2011. Tesla™ M-Class GPU Computing Modules – Accelerating Science. Santa Clara, CA: NVIDIA Corporation.
   Google Scholar
• Neal, J.C., Bates, P.D., Fewtrell, T.J., Hunter, N.M., Wilson, M.D., and Horritt, M.S., 2009. Distributed whole city water level measurements from the Carlisle 2005 urban flood event and comparison with hydraulic model simulations. Journal of Hydrology, 368 (1), 42–55.
   Web of Science ®Google Scholar
• Néelz, S. and Pender, G., 2010. Benchmarking of 2D Hydraulic Modelling Packages. Bristol, UK: Environment Agency.
   Google Scholar
• Néelz, S. and Pender, G., 2013. Benchmarking the latest generation of 2D Hydraulic Modelling Packages. Bristol, UK: Environment Agency.
   Google Scholar
• Ozdemir, H., Sampson, C.C., de Almeida, G.A.M., and Bates, P.D., 2013. Evaluating scale and roughness effects in urban flood modelling using terrestrial LIDAR data. Hydrology and Earth System Sciences, 17, 4015–4030.
   Web of Science ®Google Scholar
• Pitt, M., 2008. Floods Review: Learning lessons from the 2007 floods. London: Cabinet Office.
   Google Scholar
• Sætra, M.L. and Brodtkorb, A.R., 2012. Shallow Water Simulations on Multiple GPUs. Proceedings of the Para 2010 Conference Part II, Lecture Notes in Computer Science, 7134 (2012), 56–66.
   Google Scholar
• Sanders, B.F., 2008. Integration of a shallow water model with a local time step. Journal of Hydraulic Research, 46 (4), 466–475.
   Web of Science ®Google Scholar
• Sanders, B.F., Schubert, J.E., and Detwiler, R.L., 2010. ParBreZo: A parallel, unstructured grid, Godunov-type, shallow-water code for high-resolution flood inundation modeling at the regional scale. Advances in Water Resources, 33 (12), 1456–1467.
   Web of Science ®Google Scholar
• Singh, V.P. and Aravamuthan, V., 1996. Errors of kinematic-wave and diffusion-wave approximations for steady-state overland flows. Catena, 27 (3-4), 209–227.
   Web of Science ®Google Scholar
• Smith, L.S. and Liang, Q., 2013. Towards a generalised GPU/CPU shallow-flow modelling tool. Computers & Fluids, 88, 334–343. https://doi.org/http://dx.doi.org/10.1016/j.compfluid.2013.09.018.
   Web of Science ®Google Scholar
• Testa, G., Zuccalà, D., Alcrudo, F., Mulet, J., and Soares-Frazão, S., 2007. Flash flood flow experiment in a simplified urban district. Journal of Hydraulic Research, 45 (Sup1), 37–44.
   Web of Science ®Google Scholar
• Toro, E.F., Spruce, M., and Speares, W., 1994. Restoration of the contact surface in the HLL Riemann solver. Shock Waves, 4 (1), 25–34.
   Google Scholar
• Trahan, C.J. and Dawson, C., 2012. Local time-stepping in Runge-Kutta discontinuous Galerkin finite element methods applied to the shallow-water equations. Computer Methods in Applied Mechanics and Engineering, 217, 139–152.
   Web of Science ®Google Scholar
• Tsai, C.W., 2003. Applicability of Kinematic, Noninertia, and Quasi-Steady Dynamic Wave Models to Unsteady Flow Routing. Journal of Hydraulic Engineering, 129 (8), 613–627.
   Web of Science ®Google Scholar
• Woods-Ballard, B., Kellagher, R., Martin, P., Jefferies, C., Bray, R., and Shaffer, P., 2007. The SUDS manual. London, UK: CIRIA.
   Google Scholar
• Xia, J., Binliang, L., Falconer, R.A., and Tan, G., 2011. Modelling flash flood risk in urban areas. Proceedings of the Institution of Civil Engineers – Water Management, 164 (6), 267–282.
   Web of Science ®Google Scholar
• Yu, D. and Lane, S.N., 2006. Urban fluvial flood modelling using a two-dimensional diffusion-wave treatment, part 1: mesh resolution effects. Hydrological Processes, 20 (7), 1541–1565.
   Web of Science ®Google Scholar